Adaptive control of a class of time-delay systems with uncertain parameters
- 1 March 1996
- journal article
- research article
- Published by Informa UK Limited in International Journal of Control
- Vol. 63 (5), 937-950
- https://doi.org/10.1080/00207179608921877
Abstract
This paper is focused on the problem of adaptively stabilizing a class of linear dynamical systems with time-varying delay, in which some parameters are unknown-but-bounded. It is established that when certain structural constraints are met, then a non-adaptive output-feedback stabilizing controller can be constructed to render the closed-loop system ‘globally practically stable’. When the uncertainty set is unknown, an adaptive controller is then developed. The controller consists of two-terms: a growth term and a nonlinear output-driven term whereby the associated coefficients are easily designed within a very wide range.Keywords
This publication has 7 references indexed in Scilit:
- Memoryless stabilization of uncertain linear systems including time-varying state delaysIEEE Transactions on Automatic Control, 1992
- Stabilization of uncertain dynamic systems including state delayIEEE Transactions on Automatic Control, 1989
- Control of Partially-Known Dynamical SystemsPublished by Springer Science and Business Media LLC ,1989
- On stabilizing uncertain linear delay systemsJournal of Optimization Theory and Applications, 1983
- Uniform ultimate boundedness of the solutions of uncertain dynamic delay systems with state-dependent and memoryless feedback control†International Journal of Control, 1983
- Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systemsIEEE Transactions on Automatic Control, 1981
- Theory of Functional Differential EquationsApplied Mathematical Sciences, 1977